Drills on Topics from Arithmetic-Algebra---TCC

Contents of handouts and drills on Arithmetic-Algebra

A list of drills on different topics for Begining Algebra Level
 
1. Introduction to Algebra: working with integers, order of operations.
2. Introduction to Solving Equations: absolute value, substituting and evaluating, solving using properties, translating into words.
3. Problem Solving:  word problems involving consecutive integers, number relationships, complementary angles, and mixtures.
4. Inequalities:  graphing and solving inequalities, applications.
5. Exponents:  product rule, power rule, integer exponents, quotient rule.
6. Formulas:  working with commonly used formulas to solve for an unknown and to isolate a designated variable.
7. Polynomials:  collecting like terms, descending order, degree, operations.
8. Factoring:  greatest common factor, factor by grouping, trinomials,  difference of squares, perfect square trinomials.
9. Solving Quadratic Equations by Factoring:  zero-factor property, applications.
10. Rationals:  fundamental property of rational expressions, LCD, operations, simplifying complex fractions, solving rational equations.
11. Applications  of Rationals:  word problems involving number relations, rates and times, joint work, economics, and variation.
12. Measurement:  conversions within and between US and metric measurements, making reasonable estimates.
13. Scientific Notation:  converting between standard and scientific notation, performing operations, significant digits, applications.

Here some related Geometry usually covered in begining algebra courses
 

1. Geometry I:  terminology, lines, angles, squares and rectangles.
2. Geometry II: parallelograms, trapezoids, triangles, circles.
3. Geometry III: volume, Pythagorean Theorem, similar triangles.

 
• More to be added

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Author: Salim Khaireddine
email:tckhais@tc.cc.va.us

Last revision:April 12, 2000
 

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